4907767680 has 192 divisors, whose sum is σ = 17083123200. Its totient is φ = 1298239488.

The previous prime is 4907767649. The next prime is 4907767687. The reversal of 4907767680 is 867677094.

4907767680 is a `hidden beast` number, since 490 + 7 + 7 + 6 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4907767687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728166 + ... + 734874.

It is an arithmetic number, because the mean of its divisors is an integer number (88974600).

Almost surely, 2^4907767680 is an apocalyptic number.

4907767680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4907767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541561600).

4907767680 is an abundant number, since it is smaller than the sum of its proper divisors (12175355520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4907767680 is a wasteful number, since it uses less digits than its factorization.

4907767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 4907767680 is about 70055.4614573339. The cubic root of 4907767680 is about 1699.3962885162.

The spelling of 4907767680 in words is "four billion, nine hundred seven million, seven hundred sixty-seven thousand, six hundred eighty".